Least Common Multiple of 51/57, 78/984, 373/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/57, 78/984, 373/438 quickly i.e. 164866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/57, 78/984, 373/438 is 164866.

LCM(51/57, 78/984, 373/438) = 164866

LCM of 51/57, 78/984, 373/438

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 51/57,78/984,373/438

Given numbers are 51/57,78/984,373/438

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 51,78,373

Least Common Multiple of Numerators i.e. LCM of 51,78,373 is 494598.

GCF of Denominators means GCF of 57,984,438 as per the given fractions.

GCF of 57,984,438 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,78,373

LCM of Fractions 51/57,78/984,373/438 is 164866

3 51, 78, 373
17, 26, 373

∴ So the LCM of the given numbers is 3 x 17 x 26 x 373 = 494598

Least Common Multiple of 51,78,373 with GCF Formula

Least Common Multiple of 51,78,373 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 51,78,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,78,373) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,78,373) x common factors =1 x 3 = 3

LCM(51,78,373) = ( 51 × 78 × 373 ) / 3

LCM(51,78,373) = 1483794 / 3

LCM(51,78,373) = 494598


Lets's calculate GCF of 57,984,438

3 57, 984, 438
19, 328, 146

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 494598/3

Therefore the LCM of Fractions 51/57,78/984,373/438 is 164866

Greatest Common Factor of 57,984,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,984,438 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 57,984,438 . The biggest common factor number is the GCF number.
So the greatest common factor 57,984,438 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/57, 78/984, 373/438

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 51/57, 78/984, 373/438?

Answer: LCM of Numerators as per given numbers 51/57, 78/984, 373/438 is

LCM of Numerators i.e. for 51,78,373 is 494598

GCF of denominators i.e. for 57,984,438 is 3.

Thus, LCM of Fractions is 164866.Finally, LCM of Fractions for 51/57, 78/984, 373/438 is 164866.